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Popular Functions >

inflection 13x(x-1)^3

Solution

inflection

Solution

(\frac{1}{2}, - \frac{13}{16}), (1, 0)

Solution steps

f^{''} (x) = 13 (12 x^{2} - 18 x + 6)

Find intervals:

Concave Upward

: - \infty < x < \frac{1}{2},

Concave Downward

: \frac{1}{2} < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = \frac{1}{2}

into

13 x (x - 1)^{3} : - \frac{13}{16}

(\frac{1}{2}, - \frac{13}{16})

Plug

x = 1

into

13 x (x - 1)^{3} : 0

(1, 0)

(\frac{1}{2}, - \frac{13}{16}), (1, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection 13x(x-1)^3 ?
The inflection 13x(x-1)^3 is (1/2 ,-13/16),(1,0)